Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
Can you describe this route to infinity? Where will the arrows take you next?
On the graph there are 28 marked points. These points all mark the
vertices (corners) of eight hidden squares. Can you find the eight
We received a number of solutions to this
problem. Stephen from Manly Selective Campus got very close to the
most efficient strategy:
To be sure you will not need more than 3
guesses you will need to adopt the strategy worked out by a number
of pupils from St Hilda's Anglican School for Girls.
Gloria and Sneha suggested:
Ailie and Sophie summarised the strategy very
We also received correct solutions from Tessa,
Katharine and Alarna, also pupils from St Hilda's Anglican School
for Girls. Well done to you all.